Nia is 1 of 24 students in a class. Every month, Nia's teacher randomly selects 4 students from their class to act as class president, vice president, secretary, and treasurer. No one student can hold two positions. In given month, what is the probability that Nia is chosen as president?
27We want the probability that Nia is chosen as president. Since the order also matters, we should use permutations to get the counts in the numerator and denominator.
Probability of an event happening = number of favorable outcomes/total number of outcomes.
The number of favorable outcomes are Nia being chosen as a president, and this can be done in 23P3 ways.
The total number of outcomes are 24P4P4
So, the probability that Nia is chosen as president is 23P3/24P4
Thus, option C. 23P3/24P4.
23 470
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